Nonholonomic Ricci flows and running cosmological constant: I. 4d Taub-nut metrics
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, cilt.22, sa.6, ss.1135-1159, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 22 Sayı: 6
- Basım Tarihi: 2007
- Doi Numarası: 10.1142/s0217751x07035045
- Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1135-1159
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kocaeli Üniversitesi Adresli: Evet
Özet
In this work we construct and analyze exact solutions describing Ricci flows and nonholonomic deformations of four-dimensional (4D) Taub-NUT space-times. It is outlined a new geometric technique of constructing Ricci flow solutions. Some conceptual issues on space times provided with generic off-diagonal metrics and associated nonlinear connection structures are analyzed. The limit from gravity/Ricci flow models with nontrivial torsion to configurations with the Levi-Civita connection is allowed in some specific physical circumstances by constraining the class of integral varieties for the Einstein and Ricci flow equations.